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Finding the Third Proportional to 205,314.75 and 420,471

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Solution

The third proportional to 205,314.75 and 420,471 is: 861,096.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,314.75 : 420,471 = 420,471 : x
  2. Step 2: Convert to fraction form
    205,314.75/420,471 = 420,471/x
  3. Step 3: Cross multiply
    205,314.75x = 420,471 × 420,471
  4. Step 4: Simplify right side
    205,314.75x = 176,795,861,841
  5. Step 5: Solve for x
    x = 176,795,861,841/205,314.75
  6. Step 6: Final answer
    x = 861,096.74

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.